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Mathematical Problems in Engineering
Volume 2017, Article ID 7307452, 14 pages
https://doi.org/10.1155/2017/7307452
Research Article

Dynamical Analysis and FPGA Implementation of a Novel Hyperchaotic System and Its Synchronization Using Adaptive Sliding Mode Control and Genetically Optimized PID Control

1Centre for Nonlinear Dynamics, Defense University, Bishoftu, Ethiopia
2Department of Electronics, Faculty of Technology, Intelligent Systems Laboratory, Faculty of Engineering Sciences, Ferhat Abbas University, Setif, Algeria
3Research and Development Centre, Vel Tech University, Chennai, India
4Department of Electronics Engineering, Chennai Institute of Technology, Chennai, India

Correspondence should be addressed to Karthikeyan Rajagopal; moc.liamg@nayekeihtrakr

Received 29 September 2016; Revised 2 November 2016; Accepted 8 November 2016; Published 19 February 2017

Academic Editor: Chuangxia Huang

Copyright © 2017 Karthikeyan Rajagopal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [21 citations]

The following is the list of published articles that have cited the current article.

  • Octaviana Datcu, Mihai Stanciu, and Radu Mihnea Udrea, “Secret speech transmission using a high order sliding mode observer,” 2017 40th International Conference on Telecommunications and Signal Processing (TSP), pp. 161–164, . View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Fahime Nazarimehr, Anitha Karthikeyan, Ashokkumar Srinivasan, and Sajad Jafari, “Fractional Order Synchronous Reluctance Motor: Analysis, Chaos Control and FPGA Implementation,” Asian Journal of Control, 2017. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Anitha Karthikeyan, and Ashokkumar Srinivasan, “Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components,” Nonlinear Dynamics, 2017. View at Publisher · View at Google Scholar
  • Qiang Lai, Xiao-Wen Zhao, Karthikeyan Rajagopal, Guanghui Xu, Akif Akgul, and Emre Guleryuz, “Dynamic analyses, FPGA implementation and engineering applications of multi-butterfly chaotic attractors generated from generalised Sprott C system,” Pramana, vol. 90, no. 1, 2017. View at Publisher · View at Google Scholar
  • Elias de Almeida Ramos, Vitor Bandeira, Ricardo Reis, and Guilherme Bontorin, “Chaotic Synchronization of Neural Networks in FPGA,” Computational Neuroscience, vol. 720, pp. 17–30, 2017. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Akif Akgul, Sajad Jafari, and Burak Aricioglu, “A chaotic memcapacitor oscillator with two unstable equilibriums and its fractional form with engineering applications,” Nonlinear Dynamics, 2017. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Anitha Karthikeyan, and Ashokkumar Srinivasan, “Bifurcation and chaos in time delayed fractional order chaotic memfractor oscillator and its sliding mode synchronization with uncertainties,” Chaos, Solitons & Fractals, vol. 103, pp. 347–356, 2017. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Anitha Karthikeyan, and Prakash Duraisamy, “Bifurcation Analysis and Chaos Control of a Fractional Order Portal Frame with Nonideal Loading Using Adaptive Sliding Mode Control,” Shock and Vibration, vol. 2017, pp. 1–14, 2017. View at Publisher · View at Google Scholar
  • Abir Lassoued, and Olfa Boubaker, “Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms,” Complexity, vol. 2017, pp. 1–10, 2017. View at Publisher · View at Google Scholar
  • Anitha Karthikeyan, and Karthikeyan Rajagopal, “Chaos Control in Fractional Order Smart Grid with Adaptive Sliding Mode Control and Genetically Optimized PID Control and Its FPGA Implementation,” Complexity, vol. 2017, pp. 1–18, 2017. View at Publisher · View at Google Scholar
  • Payam Sadeghi Shabestari, Karthikeyan Rajagopal, Bahareh Safarbali, Sajad Jafari, and Prakash Duraisamy, “A Novel Approach to Numerical Modeling of Metabolic System: Investigation of Chaotic Behavior in Diabetes Mellitus,” Complexity, vol. 2018, pp. 1–11, 2018. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Sifeu Takougang Kingni, Gaetan Fautso Kuiate, Victor Kamdoum Tamba, and Viet-Thanh Pham, “Autonomous Jerk Oscillator with Cosine Hyperbolic Nonlinearity: Analysis, FPGA Implementation, and Synchronization,” Advances in Mathematical Physics, vol. 2018, pp. 1–12, 2018. View at Publisher · View at Google Scholar
  • Jay Prakash Singh, K Rajagopal, and Binoy Krishna Roy, “A new 5D hyperchaotic system with stable equilibrium point, transient chaotic behaviour and its fractional-order form,” Pramana, vol. 91, no. 3, 2018. View at Publisher · View at Google Scholar
  • Zhouchao Wei, Akif Akgul, Uğur Erkin Kocamaz, Irene Moroz, and Wei Zhang, “Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo,” Chaos, Solitons & Fractals, vol. 111, pp. 157–168, 2018. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Anitha Karthikeyan, Prakash Duraisamy, Riessom Weldegiorgis, and Goitom Tadesse, “Bifurcation, Chaos and its Control in A Fractional Order Power System Model with Uncertainties,” Asian Journal of Control, 2018. View at Publisher · View at Google Scholar
  • Zhouchao Wei, Karthikeyan Rajagopal, Wei Zhang, Sifeu Takougang Kingni, and Akif Akgül, “Synchronisation, electronic circuit implementation, and fractional-order analysis of 5D ordinary differential equations with hidden hyperchaotic attractors,” Pramana, vol. 90, no. 4, 2018. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Viet-Thanh Pham, Fawaz E. Alsaadi, Fuad E. Alsaadi, Anitha Karthikeyan, and Prakash Duraisamy, “Multistability and coexisting attractors in a fractional order Coronary artery system,” The European Physical Journal Special Topics, vol. 227, no. 7-9, pp. 837–850, 2018. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Jesus M. Munoz-Pacheco, Viet-Thanh Pham, Duy Vo Hoang, Fawaz E. Alsaadi, and Fuad E. Alsaadi, “A Hopfield neural network with multiple attractors and its FPGA design,” The European Physical Journal Special Topics, vol. 227, no. 7-9, pp. 811–820, 2018. View at Publisher · View at Google Scholar
  • Jay Prakash Singh, and B. K. Roy, “Hidden attractors in a new complex generalised Lorenz hyperchaotic system, its synchronisation using adaptive contraction theory, circuit validation and application,” Nonlinear Dynamics, 2018. View at Publisher · View at Google Scholar
  • Karthikeyan Rajagopal, Sajad Jafari, Anitha Karthikeyan, Ashokkumar Srinivasan, and Biniyam Ayele, “Hyperchaotic Memcapacitor Oscillator with Infinite Equilibria and Coexisting Attractors,” Circuits, Systems, and Signal Processing, 2018. View at Publisher · View at Google Scholar
  • Shreesha Chokkadi, Chethan C U, and Yogananda Jeppu, “Teaching Safety Critical Control System: A Success Story of Industry Academia Relation,” IFAC-PapersOnLine, vol. 51, no. 1, pp. 524–529, 2018. View at Publisher · View at Google Scholar